SOLUTION: solve the equation. Label solution as real, imaginary, and/or complex. x^2 - 2x + 5=0

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: solve the equation. Label solution as real, imaginary, and/or complex. x^2 - 2x + 5=0      Log On


   

Question 34974: solve the equation. Label solution as real, imaginary, and/or complex.
x^2 - 2x + 5=0
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve x%5E2-2x%2B5+=+0, using the quadratic formula:x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a
x+=+%28-%28-2%29%2B-sqrt%28%28-2%29%5E2-4%281%29%285%29%29%29%2F2%281%29
x+=+%282%2B-sqrt%284-20%29%29%2F2
x+=+1%2B-sqrt%28-16%29%2F2
x+=+1%2B-4sqrt%28-1%29%2F2
x+=+1%2B2i or x+=+1-2i
The roots are complex (a + bi)